Any opinions expressed on this website are entirely mine, and do not necessarily reflect the views of any of my employers. All text and images on this website not specifically attributed to another source were created by me and I reserve all rights as to their use. Jeff Cruzan is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. It was a calculator shortcut developed at a time when most calculator users were engineers. Historical note: EE stands for Engineering Exponent. That's nice, but not completely necessary. Some calculators have a mode such that when you press something like EE 4, it will print 10 4. This calculator was not set up to use scientific notation for numbers in the 1000 range. In 82 the '2' says to use 8 twice in a multiplication, so 82 8 × 8 64 In words: 8 2 could be called '8 to the power 2' or '8 to the second power', or simply '8 squared' Exponents are also called Powers or Indices. Notice that the 3 rd result was displayed as 4613.333. Exponents The exponent of a number says how many times to use the number in a multiplication. On this calculator it's done using the button. You can set your calculator to display results in scientific notation if you'd like. See if you can follow the rest of those calculations. On the calculator shown here, EE is the 2nd function of the comma (, ) key.įour calculations – two multiplications and two divisions – have been entered and performed on this calculator.
Both are a shorthand for " times ten to the power of."įor example, if I want to enter 2.48 x 10 19, on the calculator on the left, I enter the sequence " 2.48 EE 19". On most calculators, we enter scientific notation using a button labeled EXP or EE. To move the decimal between the 2 and the 3, we'll need to move it five places to the left: This example is similar to the first, except that there is actually a decimal in the original number. For example, 100 is a 1 followed by no zeros, and. Note that the number in scientific notation is really a kind of recipe for recovering our original number: "Take 1.2 and move the decimal 7 places to the right." When we're forming the scientific notation, the move is in the opposite direction, but that's only to form 1.2 x 10 7 in the first place. Note that powers of 10 follow two basic rules: A positive exponent tells how many zeros follow the 1. It's 1.2 with 6 zeros (the 7 th place is taken up by the 2): Now it's a simple matter to form the number in scientific notation.
Now we simply count how many spaces from the right (the original decimal) that is: Example 1: 12,000,000įirst, there is an implicit (not shown but there) decimal after 12,000,000, and our goal is to put it after the 1 and before the 2: This is one of the tasks you may have to do most, so it's a good one to learn.
#Two to the power of ten how to
Here are a few examples of how to convert numbers, big and small, to scientific notation.
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